1014424400 has 60 divisors (see below), whose sum is σ = 2658725664. Its totient is φ = 368880000.

The previous prime is 1014424349. The next prime is 1014424427. The reversal of 1014424400 is 44244101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110876 + ... + 119675.

Almost surely, 2^1014424400 is an apocalyptic number.

1014424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014424400 is an abundant number, since it is smaller than the sum of its proper divisors (1644301264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1014424400 is a wasteful number, since it uses less digits than its factorization.

1014424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230580 (or 230569 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1014424400 is about 31850.0298273016. The cubic root of 1014424400 is about 1004.7851986829.

Adding to 1014424400 its reverse (44244101), we get a palindrome (1058668501).

The spelling of 1014424400 in words is "one billion, fourteen million, four hundred twenty-four thousand, four hundred".